A recurrence relation for the βn-function |
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| Authors: | Lars Sjöberg |
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| Affiliation: | (1) Division of Geodesy, The Royal Institute of Technology, S-10044 Stockholm |
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| Abstract: | A recurrence relation is presented for the smoothing function, βn, which is used in geodesy to relate spherical harmonics to their mean values over circular areas (caps). The proposed formula does not require the computation of the Legendre's polynomials. Moreover, it is numerically more stable than the formulas ofPellinen (1969) andMeissl (1971). |
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